Least Common Multiple of 15/199, 225/971, 195/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/199, 225/971, 195/455 quickly i.e. 2925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/199, 225/971, 195/455 is 2925.

LCM(15/199, 225/971, 195/455) = 2925

LCM of 15/199, 225/971, 195/455

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 15/199,225/971,195/455

Given numbers are 15/199,225/971,195/455

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 15,225,195

Least Common Multiple of Numerators i.e. LCM of 15,225,195 is 2925.

GCF of Denominators means GCF of 199,971,455 as per the given fractions.

GCF of 199,971,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,225,195

LCM of Fractions 15/199,225/971,195/455 is 2925

3 15, 225, 195
5 5, 75, 65
1, 15, 13

∴ So the LCM of the given numbers is 3 x 5 x 1 x 15 x 13 = 2925

Least Common Multiple of 15,225,195 with GCF Formula

Least Common Multiple of 15,225,195 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 15,225,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,225,195) = 15

common factors(in case of two or more numbers have common factors) = 15

GCF(15,225,195) x common factors =15 x 15 = 225

LCM(15,225,195) = ( 15 × 225 × 195 ) / 225

LCM(15,225,195) = 658125 / 225

LCM(15,225,195) = 2925


Lets's calculate GCF of 199,971,455

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2925/1

Therefore the LCM of Fractions 15/199,225/971,195/455 is 2925

Greatest Common Factor of 199,971,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,971,455 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 199,971,455 . The biggest common factor number is the GCF number.
So the greatest common factor 199,971,455 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 15/199, 225/971, 195/455

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 15/199, 225/971, 195/455?

Answer: LCM of Numerators as per given numbers 15/199, 225/971, 195/455 is

LCM of Numerators i.e. for 15,225,195 is 2925

GCF of denominators i.e. for 199,971,455 is 1.

Thus, LCM of Fractions is 2925.Finally, LCM of Fractions for 15/199, 225/971, 195/455 is 2925.